دورية أكاديمية

The QLY least-squares and the QLY least-squares minimal-norm of linear dual least squares problems.

التفاصيل البيبلوغرافية
العنوان: The QLY least-squares and the QLY least-squares minimal-norm of linear dual least squares problems.
المؤلفون: Wang, Hongxing, Cui, Chong, Wei, Yimin
المصدر: Linear & Multilinear Algebra; Aug2024, Vol. 72 Issue 12, p1985-2002, 18p
مصطلحات موضوعية: LINEAR orderings, LEAST squares
مصطلحات جغرافية: MOORE (Okla.)
مستخلص: In this paper, we define a QLY total order $ \overset {Q}\leq $ ≤ Q over $ \mathbb {D}_m $ D m to compare the magnitude of dual vectors. Then we consider the QLY least-squares problem and give its compact formula. Meanwhile, by comparing with a least-squares and the least-squares minimal-norm solutions, we can investigate a QLY least-squares and the QLY least-squares minimal-norm of linear dual least-squares problems. In particular, in the presence of a least-squares solution, we can get a QLY least-squares solution to be more accurate than a least-squares solution under the QLY total order. [ABSTRACT FROM AUTHOR]
Copyright of Linear & Multilinear Algebra is the property of Taylor & Francis Ltd and its content may not be copied or emailed to multiple sites or posted to a listserv without the copyright holder's express written permission. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.)
قاعدة البيانات: Complementary Index
الوصف
تدمد:03081087
DOI:10.1080/03081087.2023.2223348